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  1. Sticks and clubs.Sakaé Fuchino, Saharon Shelah & Lajos Soukup - 1997 - Annals of Pure and Applied Logic 90 (1-3):57-77.
    We study combinatorial principles known as stick and club. Several variants of these principles and cardinal invariants connected to them are also considered. We introduce a new kind of side by-side product of partial orderings which we call pseudo-product. Using such products, we give several generic extensions where some of these principles hold together with ¬CH and Martin's axiom for countable p.o.-sets. An iterative version of the pseudo-product is used under an inaccessible cardinal to show the consistency of the club (...)
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  • Souslin forcing.Jaime I. Ihoda & Saharon Shelah - 1988 - Journal of Symbolic Logic 53 (4):1188-1207.
    We define the notion of Souslin forcing, and we prove that some properties are preserved under iteration. We define a weaker form of Martin's axiom, namely MA(Γ + ℵ 0 ), and using the results on Souslin forcing we show that MA(Γ + ℵ 0 ) is consistent with the existence of a Souslin tree and with the splitting number s = ℵ 1 . We prove that MA(Γ + ℵ 0 ) proves the additivity of measure. Also we introduce (...)
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  • Calude, C., Calude, E. and Khoussainov, B., Deterministic.S. Fuchino, S. Shelah, L. Soukup, M. Gitik, C. Merimovich, R. Laver, S. Riis, P. Sewell, S. Soloviev & O. Spinas - 1997 - Annals of Pure and Applied Logic 90 (1-3):277.
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  • Combinatorics for the dominating and unsplitting numbers.Jason Aubrey - 2004 - Journal of Symbolic Logic 69 (2):482-498.
    In this paper we introduce a new property of families of functions on the Baire space, called pseudo-dominating, and apply the properties of these families to the study of cardinal characteristics of the continuum. We show that the minimum cardinality of a pseudo-dominating family is min{.
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